Ab initio and density function theory studies on NLi6 molecule: compared with CLi6 and OLi6 species

A wide variety of geometrical structures of NLi₆ molecule were studied using HF ab initio and BLYP-DFT techniques. Three stationary configurations which take D_4h, D_3d and D_2d configurations were obtained. Their equilibrium geometries and fundamental frequencies were calculated at HF and BLYP-DFT levels. Among the three stable states, the global minimum prefers D_3d configuration, which is different from those of CLi₆ and OLi₆. The D_3d isomer of NLi₆ is 3.43 and 28.45 kcal/mol lower in energy than the D_4h and D_2d ones in the DFT calculation, respectively. All calculations were performed with 6-31G* polarized split-valence basis set.     

富勒烯C36及其衍生物C36H2n的量子化学研究

应用密度泛函B₃LYP方法和从头算(abinitio)HF方法,在3-21G理论水平上,对具有C_2v,D_2d,D_3h和D_6h对称性的四种C₃₆异构体以及在保持D_2d,D_3h和D_6h对称性条件下形成的不同氢化物进行了量子化学计算,研究了它们在不同量子态时的分子几何构型和电子结构.结果表明,电子相关效应在C₃₆簇化合物的电子结构中起着重要作用.它们最稳定的结构是C₃₆的³A_2u量子态D_6h异构体,而C₃₆的氢化物是在D_3h异构体的C₂位置等同碳原子上形成的¹A_1'量子态氢化物C₃₆H₁₂.     

Superoxide ion formation process on reduced MoO3---TiO2

Two novel Mo⁵⁺ ions, different from either the D_2d symmetry Mo⁵⁺ on anatase or the D_2hMo⁵⁺ on rutile, appeared on partially reduced molybdenum oxide supported on -titanic acid. The oxygen molecule is held on one of these novel Mo⁵⁺ ions but is not reduced to the superoxide ion. Oxygen is reduced to O⁻₂ entirely by the Mo⁴⁺ ion formed from the D_2d symmetry ion and the O⁻₂ is subsequently stabilized after moving to a Ti⁴⁺-site.     

An electron transfer mechanism of O4 formation

A resonating valence bond electron transfer mechanism of combining two O₂ molecules to form an O₄ molecule is presented. The predicted molecular states of the reaction path D_∞h→C_2v→D_2h are supported by the present ab initio molecular orbital calculations. The CASPT2 BSSE calculations yield a stable diamagnetic D_2h O₄ molecule with a very weak chemical bond between the monomers, in good agreement with experiments. A low activation barrier energy of 26 cal/mol for the O₄ formation is found.     

Fluorides of ruthenium and chromium: Theoretical studies

The electronic and structural characteristics of CrF₅, CrF₄, RuF₅ and RuF₄ were studied. Ab initio (SCF-CI) calculations were performed with different structures and spin states for each complex. The favored conformation always corresponds to the highest multiplicity: doublet for CrF₅ in D_3h, triplet for CrF₄ in T_d, quadruplet for RuF₅ in C_4v and quintuplet for RuF₄ in D_4h symmetry.     

Ab initio MRD-CI study of GaAs, GaAs2(±), Ga2As2(±) and As4 clusters

Using pseudopotentials and double zeta basis sets with s, p diffuse functions and two sets of d functions, MRD-CI calculations were performed on As₂^(±), As₄⁽⁺⁾, GaAs⁻, GaAs₂^(±) and Ga₂As₂^(±). This study complements previous theoretical investigations on Ga^(±) to Ga₄^(±) and GaAs⁽⁺⁾. For As₄ tetrahedral symmetry was assumed, and Re of X¹A₁ determined as 4.73a₀. Vertical ionization potentials to several states of As₄⁺ were calculated. For GaAs₂, GaAs₂⁺ and GaAs₂⁻, ground and one low-lying state were geometry-optimized, both in C_2v (Ga-As-As), and linear symmetry (GaAsAs, C_∞h and AsGaAs, D_∞h). The lowest state of GaAs₂ is ²B₂ in C_2v. For Ga₂As₂, the lowest state and low-lying excited states were optimized in various geometries. The most stable state has rhombic structure (¹A_g in D_2h), but T-form and other forms (C_2v, C_∞v, D_∞h) are only 1–2 eV less stable. In D_2h symmetry, several low-lying excited states of Ga₂As₂ were studied. The ground states of Ga₂As₂⁺ and Ga₂As₂⁻ were found to be ²B_2u, and ²B_2g, respectively. Trends in ionization potentials (IP), electron affinities (EA), atomization energies and fragmentation energies for the molecules Ga_xAs_y and the pure compounds Ga_n and As_n up to 4 atoms, were studied. Ga_xAs_y clusters, with x + y even, have higher IP's than odd-numbered clusters. An experimentally observed alternation of EA, whereby an odd number of atoms have higher EA than their even neighbors, is confirmed. The mixed compounds Ga_xAs_y have atomization energies between those of Ga_n and As_n (x + y = n), usually closer to those of Ga_n. Fragmentation of Ga_xAs_y occurs such that As----As bonds are retained, and if possible, also Ga----As bonds, since the dissociation energy of As₂ is higher than that of GaAs, which in turn is higher than that of Ga₂. Calculated fragmentation energies agree qualitatively with experimental observations about the composition of 3-atomic and 4-atomic clusters Ga_xAs_y.     

Computational studies of the structure and vibrational spectra of hexafluorodisilane

Ab initio calculations predict that D_3d symmetry of Si₂F₆ is more stable than D_3h symmetry. The calculated potential barrier to internal rotation was 0.77, 0.73 and 0.78 kcal/mol using HF/6-31G*, B3LYP/6-31G* and MP2/6-31G* methods respectively, which was in good agreement with the experimental value between 0.51±0.10 and 0.73±0.14 kcal/mol. The optimized geometries, harmonic force fields, infrared intensities, Raman activities, and vibrational frequencies are reported for D_3d symmetry of Si₂F₆ from HF/6-31G* and B3LYP/6-31G*. A normal coordinate analysis was carried out. The average error between the scaled DFT frequencies obtained from the B3LYP/6-31G* calculation and observed frequencies was 4.2 cm⁻¹ and the average error between the scaled HF and observed frequencies was 2.2 cm⁻¹.     

A comparative study of species N3 and P3

Calculations on linear and bent structures of N₃ and P₃ show that these species are quite different. N₃ is linear, P₃ is bent almost to a D_3h geometry. The symmetry of P₃ in D_3h is ²E″ but the Jahn-Teller distortion is very small, ≈4°. The many-body expansion of the energy of P_n clusters appears to be only slowly convergent.     

Synthesis and characterization of hydroxo, pyrazolato and carboxylato derivatives of the PdR(PPh3)moiety (R = C6F5 or C6Cl5)

The hydroxo-complexes [{PdR(PPh₃)(μ-OH)}₂] (R = C₆F₅ or C₆Cl₅) have been obtained by reaction of the corresponding [{PdR(PPh₃)(μ-Cl)}2] complexes with NBu₄OH in acetone. In this solvent, the reaction of the hydroxo-bridged complexes with pyrazole (Hpz) and 3,5-dimethylpyrazole (Hdmpz) in 1:2 molar ratio leads to the formation of the new complexes [{Pd(C₅F₅)(PPh₃)(μ-azolate)}2] and [{Pd(C₆Cl₅)(PPh₃)}₂(μ-OH)(μ-azolate)] (azolate = pz or dmpz). The reaction of the bis(μ-hydroxo) complexes with Hpz and Hdmpz in acetone in 1:1 molar ratio has also been studied, and the resulting product depends on the organic radical (C₆F₅ or C₆Cl₅) as well as the azolate (pz or dmpz). The identity of the isomer obtained has been established in every case by NMR (¹H, ¹⁹F and ³¹P) spectroscopy. The reaction of the bis(μ-hydroxo) complexes with oxalic (H₂Ox) and acetic (HOAc) acids yields the binucle ar complexes [{PdR(PPh₃)}2(μ-Ox)] (R = C₆F₅ or C₆Cl₅) and [{Pd(C₆F₅)(PPh₃)(μ-OAc)}2], respectively. [{Pd(C₆F₅)(PPh₃)(μ-OH)}₂] reacts with PPh₃ in acetone in 1:2 ratio giving the mononuclear complex trans-[Pd(C₆F₅) (OH)(PPh₃)₂], whereas the pentachlorophenylhydroxo complex does not react with PPh₃, even under forcing conditions.     

C80(Ⅰ,Ⅱ) and Sc2@C80(Ⅰ-Ⅲ):Production,Isolation and Spectrometric Studies

C₈₀ has seven structural isomers satisfying the isolated pentagon rule (IPR)^[1],however,only one isomer of C₈₀(D₂) was isolated and studied so far^[2]. In this study, we report the first successful isolation of multi-isomers of C₈₀ and C₈₀-based endohedral metallofullerenes. The new species were characterized by UV-Vis-NIR absorption spectroscopy, soot-extraction method, chromatographic retention time data and ¹³C NMR spectrometry (for C₈₀(Ⅱ)). It is suggested that C₈₀(Ⅱ) has a D_5d symmetry by the ¹³C NMR pattern (3×20; 2×10) and its long retention time in 5PYE column. For the three isomers of Sc₂@C₈₀,isomer Ⅲ has an extremely long retention time which suggests a D5d symmetry. On the contrary, isomer I has a very short retention time in 5PYE columnso it may have the most spherical I_h symmetry. Theoretically, Sc₂@C₈₀(I_h) is expected to have novel super-conductivity property as the A₃C₆₀ (A=K, Rb).     

乙硼烷离子和自由基结构的量子化学研究

用B₃LYP/6-311G(d,p)密度泛函方法对B₂H₅⁺阳离子和B₂H₅^·自由基的几何异构体的空间构型进行了优化,并在此基础上用QCISD(T)/6-311++G(3df,2p)偶合簇法进行了单点能计算和零点能校正.结果表明,B₂H₅⁺单态有2种稳定的几何构型(D_3h,C₁),其中C₁构型是新发现的.B₂H₅⁺三重态阳离子除已知C_s构型外,又发现两种稳定构型(C₁).对于B₂H₅^·自由基体系,共有4种异构体(包括两种新发现的构型C_s),其中,具有单桥结构的C_2v最稳定.用二级多体微扰理论和密度泛函方法对前人所认为稳定的B₂H₅⁺单态的C_2v构型进行了全优化,结果发现该构型始终具有一个虚频,不是稳定构型.对B₂H₅^-阴离子体系的单态和三重态进行的全优化,理论上得出单态时具有C_2v和C_s两种稳定构型,而三重态只有C_2v一种稳定构型.     

The 9-barbaralyl cation, 1,4-bishomotropylium ion and some related C9H9 carbocations : Electronic structures, stability and reactivity

The electronic structures of the 9-barbaralyl cation(1), the 1,4-bishomotropylium ion (5) and some related C₉H₉⁺ isomers have been studied byab initio STO-3G calculations. The stability of the cyclopropylcarbinyl cation 1 and the homoaromatic ion 5 as compared with their allylic counterparts is explained in terms of delocalization and MO interactions between molecular fragments. Both the symmetry of, and the distance between, molecular fragments are of importance for the electronic structure, and even symmetry-allowed interactions are negligible in the absence of favourable geometrical distortions. The non-classical ion 3 with D_3h symmetry presents special problems where other factors, such as strain, are important for the total energy. A choice between proposed mechanisms for the degenerate rearrangements of 1 can now be made with confidence.     

The EEL epectrum of the triplet exciton of C60 and the theoretical analysis of its vibronic structure

The electron energy loss (EEL) spectrum of the triplet exciton of the (111) surface of solid C₆₀ has been recorded at 105 K. Its rich vibronic structure is suggestive of a high degree of molecular distortion that occurs upon excitation. The static Jahn-Teller distortion of the isolated molecule, along the adiabatic potential energy surface of T₁, is determined by quantum-chemical calculations and the relaxed molecular structure is found to belong to the D_5d point group symmetry. The vibrational force field is evaluated at the distorted structure and used to simulate the EEL intensities of phonon-assisted transitions in the strong coupling regime.     

Reactions of pentafluorophenylxenon(II) hexafluoroarsenate [C6F5Ze] [AsF6] with halide anions in acetonitrile

Reactions of [C₆F₅Xe]⁺ [AsF₆]⁻ in acetonitrile with halide anions X⁻ show different results depending on X. If X = I, Br or Cl, then C₆F₅X is obtained. If X = F, then C₆F₅H and C₆F₅---C₆F₅ are produced, and if X = HF₂, then C₆F₆, C₆F₅H and C₆F₅---C₆F₅ are formed.     

The performance of B3-LYP density functional theory in describing SN2 reactions at saturated carbon

The performance of the B3-LYP variant of density functional theory when used in conjunction with the 6-31G(d) and 6-311 + G(3df, 2p) basis sets in describing the prototypical gas-phase S_N2 reactions of Cl⁻ + CH₃Cl and CH₃Br has been examined in detail. Reasonable values of the complexation energies (ΔH_comp) for the ion-molecule complexes formed in these reactions are obtained. However, the overall (ΔH_ovr^#) and central (ΔH_cent^#) barriers for these reactions calculated using the B3-LYP functional are significantly underestimated when compared with G2(+) or experimental results. This implies that the B3-LYP energies for the Cl(H₃C)Cl⁻ (D_3h) and Cl(H₃C)Br⁻ (C_3v) transition structures are relatively too low. The B3-LYP errors appear to be systematic, with similar errors being found for corresponding quantities for the two reactions examined.     

锂钠复合超价氧化物的电子结构和稳定性

采用6-31G^*基组,用B3LYP密度泛函方法,对OLi_nNa₂(n=1-4)及OLi₂Na系列分子的所有可能结构进行了几何优化和频率计算,得到各分子的几种能量极小点.除OLi₄Na₂采取D_2d对称性外,该系列其它4种分子都采取C_2v对称作为它们的能量最低点.OLi_nNa₂(n=2,3,4)分子解离出一个Li原子的离解能分别为212.25432,68.49208和245.55896kJ/mol,表明此类分子在热力学上是相当稳定的.     

Magnetic susceptibility of 1,1′,2,2′-tetramethylcobaltocene and 1,1′-diethylcobaltocene: Evidence for the dynamic Jahn-Teller effect

The magnetic susceptibility of 1,1′,2,2′-tetramethylcobaltocene, Co[C₅H₃(CH₃)₂]₂, and 1,1′-diethylcobaltocene, Co(C₅H₄C₂H₅)₂, has been studied between 0.99 and 296 K. The data are well reproduced by a calculation of the dynamic Jahn-Teller effect for the ²E_1g(a_1g²e_2g⁴e_1g) ground state of D_5d symmetry. A suitable set of parameter values is given by ζ = 100 cm⁻¹, δ = 150 cm⁻¹, k_JT = 0.40, κ = 0.70. The magnetism of cobaltocene, Co(C₅H₅)₂, may be described by parameter values of comparable magnitude. The results imply a significantly larger reduction of the spin-orbit coupling parameter ζ due to covalency than of the orbital reduction factor κ.     

Dimethylchalkogenide als liganden in kationischen cyclopentadienyleisen-bis(phosphin)-komplexen: synthese, reaktivität und kristallstruktur von [C5H5Fe(P(OCH3)3)2(S(CH3)2)]PF6

Thermal displacement of coordinated nitriles RCN (R = CH₃, C₂H₅ or n-C₃H₇) in [C₅H₅Fe(L₂)(NCR)]X complexes (L₂ = P(OCH₃)₃)₂, (P(OC₆H₅)₃)₂ or (C₆H₅)₂PC₂H₄P(C₆H₅)₂ (DPPE)) by E(CH₃)₂ affords high yields of [C₅H₅Fe(L₂)(E(CH₃)₂)]X compounds (E = S, Se and Te; X = BF₄ or PF₆). Spectroscopic data and ligand displacement reactions are presented and discussed together with related observations on [C₅H₅Fe(CO)₂(E(CH₃)₂)]BF₄ compounds. The molecular structure of [C₅H₅Fe(P(OCH₃)₃)₂(S(CH₃)₂)]PF₆ was determined by a single-crystal X-ray diffraction study: monoclinic, space group P2₁/n-C⁵_2h (No. 14) with a = 8.4064(12), b = 11.183(2), c = 50.726(8) Å, β = 90.672(13)° and Z = 8 molecules per unit cell. The coordination sphere of the iron atom is pseudo-tetrahedral with an Fe---S bond distance of 2.238 Å.     

Electronic structure and bonding in Si70

We report a detailed AM1 investigation of the geometrical and electronic structure of Si₇₀. For this purpose, bond lengths, bond orders, charges and molecular energy levels are widely analyzed, and compared with previous theoretical and experimental data on Si₆₀ and homologous carbon clusters C₇₀ and C₆₀. The predicted D_5h structure of Si₇₀ is less delocalized than that of C₇₀. Furthermore, Si₇₀ presents the lowest ionization potential (7.63eV), the highest electron affinity (3.61 eV) and the smallest HOMO-LUMO gap (4.02eV) of the four studied clusters.     

Ab initio molecular orbital study on inversion mechanism of trimethylene bridges of [33](1,3,5)- and [36](1,2,3,4,5,6)cyclophanes

Ab initio molecular orbital (MO) study on the inversion process of six trimethylene bridges between two degenerate C_6h conformers of [3₆](1,2,3,4,5,6)cyclophane suggests that the inversion occurs in a stepwise manner rather than a synchronous mechanism.